Add 21/98 and 40/48
21/98 + 40/48 is 22/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 98 × 24 = 2352,
21/98 = 21 × 24/98 × 24 = 504/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
40/48 = 40 × 49/48 × 49 = 1960/2352 - Add the two like fractions:
504/2352 + 1960/2352 = 504 + 1960/2352 = 2464/2352 - 2464/2352 simplified gives 22/21
- So, 21/98 + 40/48 = 22/21
In mixed form: 11/21
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